13797 has 16 divisors (see below), whose sum is σ = 23680. Its totient is φ = 7776.

The previous prime is 13789. The next prime is 13799. The reversal of 13797 is 79731.

Added to its reverse (79731) it gives a triangular number (93528 = T₄₃₂).

It is not a de Polignac number, because 13797 - 2³ = 13789 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a nude number because it is divisible by every one of its digits.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 13797.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (13799) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 153 + ... + 225.

It is an arithmetic number, because the mean of its divisors is an integer number (1480).

2¹³⁷⁹⁷ is an apocalyptic number.

It is an amenable number.

13797 is a deficient number, since it is larger than the sum of its proper divisors (9883).

13797 is an equidigital number, since it uses as much as digits as its factorization.

13797 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 89 (or 83 counting only the distinct ones).

The product of its digits is 1323, while the sum is 27.

The square root of 13797 is about 117.4606317027. The cubic root of 13797 is about 23.9843648164.

Adding to 13797 its sum of digits (27), we get a cube (13824 = 24³).

Adding to 13797 its reverse (79731), we get a triangular number (93528 = T₄₃₂).

The spelling of 13797 in words is "thirteen thousand, seven hundred ninety-seven".